/*
www-ATLAS of Group Representations.
A9 represented as 35 x 35 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000100000000000000000000000000000",
"10000000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000010000000000000000",
"00100000000000000000000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00001000000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000010",
"11010012220100111200100200202120222",
"21102221122121021222111100210220120",
"11100011102210220110122202202112100",
"00000010000000000000000000000000000",
"00201011211121002212111010220211100",
"11112110201012002000001020000000000",
"00001122212212211212111221012002011",
"00000001000000000000000000000000000",
"11212202012221000222102210100211120",
"21201110022202001020210200020012000",
"11002022102200022022101012011102220",
"02012121102201000220011020200011010",
"10111201020021220000102222202111120",
"10021002211001210120112120000111001",
"00000000010000000000000000000000000",
"02110201112001210120211200111102222"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"02200220000200000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000001",
"02212121211121101112200020220002010",
"00002101010002110102010200001102201",
"20210001122200112020211012110222211",
"20222210202220222200000201201112012",
"01101010010111010210222211002201210",
"11201201120202212101102202101122101",
"22000211200012120000102211201002102",
"20122121011020210022020002120101001",
"21212111212022021022100122202102012",
"12111020200222220121201110011222010",
"11110200122221020000212002210200010",
"21100022200022110221011101121101111",
"10222210220110111122012212021212212",
"02112112222110222121101111102111011",
"10010200202012010020010121110020212",
"12121001121010020111200201210002110"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is A9 < GL(35,GF(3))";